Two integers, m and n are said to be relatively prime if their greatest common divisor is 1, that is GCD(m,n) = 1.

0/ means 0 with a slash through it, my keyboard wouldn't do it.

If m is a positive integer, 0/(m) denote the number of positive integers less than or equal to m that are also relatively prime to m.

1. Calculate 0/(2), 0/(3), 0/(5) and 0/(7).

I think once I understand what this means, I will be able to move forward with the problem.

Thank you.

The terminology varies. Alternatively, two integers with no common divisors save for 1 are called mututally prime or coprime. (By definition, 1 is relatively prime with any integer.)

> 0/ means 0 with a slash through it, my keyboard wouldn't do
>it.

This is in fact the Greek letter phi - f. f(n) denotes Euler's phi function or Euler's totient function. (This is in case you would like - which would make sense too - to search this site or the Web for information about that function and its properties.)

>If m is a positive integer, 0/(m) denote the number of
>positive integers less than or equal to m that are also
>relatively prime to m.
>
>1. Calculate 0/(2), 0/(3), 0/(5) and 0/(7).

f(2) = 1

There is just one positive integer less than 2. It's 1, which is relatively prime to 2.

f(3) = 2

There are just two positive integers less than 3: 1 and 2. Both are relatively prime to 3.

f(5) = 4

All of 1, 2, 3, 4 are relatively prime to 5.

f(4) = 2

Of 1, 2, 3 the first and the last are relatively prime to 4.

>I think once I understand what this means, I will be able to
>move forward with the problem.

Hope the above helps.

I tell my middle school students that the easiest way to do this is to choose any other prime number.

For example, in your problem 0/(your notation) 0/2 would be asking you to find another number, along with 2, that makes them relatively prime. No even number will work, but any odd number would work, especially any prime. Same for 3 and 7, just find a number that doesn't have 3 as a factor, or 7 as a factor and those numbers are relatively prime to 3 and 7.

Good luck!

Natalie

Many Thanks

Ginger